1) Arrogantly 2) Conceitedly 3) How a peacock struts 4) In a proud manner 5) In a self-aggrandizing way 6) Self-importantly 7) Snootily 8) With pride Found on https://www.crosswordclues.com/clue/proudly
Proud'ly adverb In a proud manner; with lofty airs or mien; haughtily; arrogantly; boastfully. « Proudly he marches on, and void of fear.» Addison. Found on http://www.encyclo.co.uk/webster/P/182